Michelle deposited $3,400 into an account. she made no additional withdrawals or deposits. michelle earned 1.95% annual simple interest on the money in the account. what was the total balance in her account at the end of 2.5 years? question 6 options: $165.75 $356.57 $3565.75 $1,657.50

Answers

Answer 1

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3400\\ r=rate\to 1.95\%\to \frac{1.95}{100}\dotfill &0.0195\\ t=years\dotfill &2.5 \end{cases} \\\\\\ A=3400[1+(0.0195)(2.5)]\implies A=3400(1.04875)\implies A=3565.75[/tex]


Related Questions

(3y+2)(y–1) simplify??

Answers

Answer:

[tex]\boxed{\sf{3y^2-y-2}}[/tex]

Step-by-step explanation:

Given:

Isolate the term of y from one side of the equation.

(3y+2)(y-1)

Use the foil method.

[tex]\underline{\text{FOIL METHOD:}}[/tex]

[tex]\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}[/tex]

(3y+2)(y-1)=3yy+3y(-1)+2y+2(-1)

Solve.

[tex]\sf{3yy=3y^2}\\\\\\\sf{3y(-1)=-3y}\\\\\\\sf{2(-1)=-2}[/tex]

[tex]\sf{3y^2-3y+2y-2}[/tex]

Add or subtract the numbers from left to right.

Solutions:


[tex]\sf{-3y+2y=-y}[/tex]

[tex]\Longrightarrow: \boxed{\sf{3y^2-y-2}}[/tex]

Therefore, the correct answer is 3y²-y-2.

I hope this helps. Let me know if you have any questions.

Answer:

3y^2-y-2

Step-by-step explanation:

(3y+2)(y–1)

Use the FOIL method

First 3y * y = 3y^2

outer  3y * -1 = -3y

inner  2 * y = 2y

last  2 * -1 = -2

Add them together

3y^2 -3y +2y -2

Combine like term

3y^2-y-2

In right triangle AEFG, m_ E= 25°. In right triangle AHJK, mZH = 25°. Which
similarity postulate or theorem proves that A EFG and AHJK are similar?
A. HL
O B. SAS
O C. SSS
O D. AA
Help me I’ll give brianliest

Answers

Answer:

option D is a correct answer AA postulate

The two triangles are similar by the AA postulate

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔEFG

Let the second triangle be ΔHJK

Now , the corresponding angles are

∠E = 25° = ∠H

So , the two angles are similar

And , the triangles are similar by the AA postulate

Hence , they are similar triangles

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Divide. Reduce the answer to lowest terms.
3/8 divided by 1/7

Answers

Answer:

[tex]2\frac{5}{8}[/tex], or [tex]\frac{21}{8}[/tex]

Explanation:

Use the Keep Change Flip method.  Change the sign to multiplication and flip the second fraction. [tex]\frac{3}{8}[/tex] × [tex]\frac{7}{1}[/tex]

Multiply the numerators and the denominators separatley.  [tex]\frac{3}{8}[/tex]×[tex]\frac{7}{1}\\[/tex]=[tex]\frac{21}{8}[/tex]

This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction).  [tex]\frac{21}{8} =2\frac{5}{8}[/tex]

Identify the relationship between the graphs of
these two equations.
2y = 6x + 5
6y=-2x + 1
Click on the correct answer.
parallel
perpendicular
neither

Answers

Perpendicular

This is because lines that are perpendicular have slopes that are the negative reciprocals of each other (for example: 5 and -1/5)


When you simplify each of the equations given, the equations are:

Y=3x + 5/2

Y=-1/3x + 1/6


Since the lines are are the form y=mx + b, and ‘m’ represents the slopes, the two slopes are 3 and -1/3 which are negative reciprocals of each other, therefore the lines are perpendicular

A 5 metre long ladder is placed against a wall. It reaches
4.3 metres up the wall. What is the angle between the
ladder and the ground?
IS

Answers

given

5m long ladder placed against 4.3m up the wall.

to find:

the angle between the ladder and the ground.

solution:

Based on the given conditions, formulate: 

sin⁡x=4.3÷5

Evaluate the equation/expression:

x= 1.03527 or 2.10632

x= 1.03527°

or x= 2.10632°

subtract -5/7 from -2/3

Answers

The simplified solution is 1/21 i believe

Answer:

[tex]-\frac{1}{21}[/tex]

Step-by-step explanation:

The opposite of -2\3 is 2\3

-

-5\7 + 2\3

Least common multiple of 7 and 3 is 21. Convert -5\7 and 2\3 to fractions with denominator 21.

-

-15\21 + 14\21

Sinse -15\21 and 14\21  have the same denominator, add them by adding their numerators.

[tex]\frac{-15+14}{21}[/tex]

-

Add −15 and 14 to get −1.

-1\21

What is the third quartile of this data set?


14, 18, 20, 21, 25, 32, 38, 42, 48


A. 42


B. 36


C. 40


D. 38

Answers

Answer:

40 so C would be your answer.

The third quartile of the data set is 38.

What is Quartile?

Quartiles are statistical measures that divide a dataset into four equal parts, each representing 25% of the data. They are used to analyze the distribution and spread of data.

There are three quartiles: the first quartile (Q1), the second quartile (Q2), and the third quartile (Q3).

To find the third quartile of a data set, we need to arrange the data in ascending order and then locate the value that divides the upper 25% of the data from the lower 75%.

Arranging the data set in ascending order:

14, 18, 20, 21, 25, 32, 38, 42, 48

The data set has 9 values, so the third quartile will be the value at the

(9 0.75)th position

= 6.75th position.

Since we can't have a fractional position, we round up to the nearest whole number, which is 7.

The value at the 7th position is 38. Therefore, the third quartile of the data set is 38.

Learn more about Quartile here:

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What is the area of each parallelogram? (in order)

Answers

Answer:

322, 468, 35, 48, 28.5

Step-by-step explanation:

23 times 14 is 322, 18 times 26, 5 times 7, 8 times 6, 3 times 9.5

Answer:

23x14=322ft

18x28=468ft

5x7=35ft

8x6=48ft

3x9.5=28.5

Step-by-step explanation:

hejdbsisugebe

what is 4(3x6)squared divided by 6(-12)?

Answers

Answer:

-2592

Step-by-step explanation:

this doesn't seem right but its what i got

Math extra credit can somebody help?

Answers

Okay you got me mad at you and then you too I got you something to say I don’t know how to do that but I’m not mad

Please help!!!
Find the measure of the arc or angle indicated.

A. 36°
B. 108°
C. 72°

Answers

Answer: C

Step-by-step explanation:

The 36 degree angle is inscribed in the unknown arc, so the arc measures 36(2)=72 degrees.


Solve each equation.
a.8x=2/3
b.1 1/2=2x
c.5x=2/7
d.1/4x=5
e.1/5=2/3x

Answers

The guy above is right

What is the sum of the diagonals in a rectangle whose area is 25v3 and whose width is 5?

Answers

Answer:

Sum of diagonals = 20 units

Step-by-step explanation:

[tex]A(rectangle)=25\sqrt 3\: units^2\\w(rectangle) =5\: units[/tex]

To find: Sum of diagonals

[tex]A(rectangle)=l(rectangle)\times w(rectangle) [/tex]

[tex]\implies l(rectangle)=\frac{A(rectangle)}{w(rectangle)}[/tex]

[tex]\implies l(rectangle)=\frac{25\sqrt 3}{5}[/tex]

[tex]\implies l(rectangle)={5\sqrt 3}\: units[/tex]

Let the diagonals of the rectangle be [tex]d_1\:\&\:d_2\: units[/tex]

Diagonals of a rectangle are equal in measure.

[tex]\implies d_1=d_2=\sqrt{l(rectangle)^2+w(rectangle)^2}[/tex]

(By Pythagoras Theorem)

[tex]\implies d_1=d_2=\sqrt{(5\sqrt 3)^2+(5)^2}[/tex]

[tex]\implies d_1=d_2=\sqrt{75+25}[/tex]

[tex]\implies d_1=d_2=\sqrt{100}[/tex]

[tex]\implies d_1=d_2=10\: units[/tex]

[tex]Sum \:of \:diagonals = d_1+d_2[/tex]

[tex]\implies Sum \:of \:diagonals = 10+10[/tex]

[tex]\implies Sum \:of \:diagonals = 20\: units[/tex]

The TV chef didn't know the first thing about cooking. He was just hired for his wavy blonde hair and charming British accent. So last Tuesday, while the gullible audience thought the chef was mixing up a world-renowned hollandaise sauce, he was actually just mixing a 5 ounce sauce containing 50% tangy mustard with another sauce containing 75% tangy mustard to get a sauce containing 70% tangy mustard. How many ounces of the 75% tangy mustard sauce must the chef have used?​

Answers

The number or amount of ounces of the 75% tangy mustard sauce must the chef have used is: 20 ounces .

Number of ounces

First step

Since 5 ounce sauce containing 50% tangy

Hence:

5 oz×.50 tangy

=2.50 oz-tangy

Second step

(5+x)×0.7=3.5+0.7x

Third step

2.50+0.75x=3.5+0.7x

Collect like term

0.75x-0.7x=3.5-2.50

0.05x=1

Divide both side by 0.05

x=1/0.05

x=20 ounces

Therefore the number of ounces of the 75% tangy mustard sauce must the chef have used is: 20 ounces .

Learn more about number of ounces here:https://brainly.com/question/10618309

please help me with the question​

Answers

Answer:

The answer is B.

Step-by-step explanation:

4x-7 = 2x+9

2x = 16

x = 8

And then we put x into the equations.

y = 32 - 7

y = 25

We then check it with the other equation just to make sure we are correct.

y = 16 +9

y = 25

Therefore, the answer is (8,25).

Find the value of x.
17
X-4

Answers

Answer:

x = 12.5

Step-by-step explanation:

17 = 2(x - 4)

17 = 2x - 8

17 + 8 = 2x - 8 + 8

25 = 2x

12.5 = x

each morning, danai buys breakfast on her why to work. In the past thirty days, she bought a bagel on 6 days, a banana on 12 days, a doughnut on 3 days, and an orange on 9 days. If she bought one item per day, what is the probability that she bought either a banana or an orange? Show or explain your work and write you answer in the space provided.

Answers

Answer:

0.7 or 70%

Step-by-step explanation:

Total number of days

6 + 12 + 3 + 9 = 30

The number of days she bought a banana or orange

12 + 9 = 21

The probability of buying a banana or an orange is

P(b or o) = 21/30 = 0.7 = 70%

Answer:

[tex]\sf \dfrac{7}{10}=0.7=70\%[/tex]

Step-by-step explanation:

Given information:

Bagel bought on 6 daysBanana bought on 12 daysDoughnut bough on 3 daysOrange bought on 9 days

Total number of days = 30

Probability Formula

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Probability of buying a banana:

[tex]\implies \sf P(Banana)=\dfrac{12}{30}[/tex]

Probability of buying an orange:

[tex]\implies \sf P(Orange)=\dfrac{9}{30}[/tex]

Therefore,

[tex]\implies \sf P(Banana) \: or \: P(Orange)=\sf \dfrac{12}{30}+\dfrac{9}{30}=\dfrac{21}{30}=\dfrac{7}{10}[/tex]

So the probability of buying either a banana or an orange is:

  [tex]\sf \dfrac{7}{10}=0.7=70\%[/tex]

Factorise 4x^2-y^2 please help

Answers

Answer:

(2x + y)(2x - y)

Step-by-step explanation:

1. Simplify the square 4x²:

(2x)² - y²

2. Apple the difference of two squares formula x² - y² = (x + y)(x - y):

(2x + y)(2x - y)

hope this helps!

Frank wants to find the area enclosed by the figure at the right. The figure has semicircular on each side of a 40-meter by 40 meter square. Find area enclosed by the figure. 3. 14

Answers

4,112.00 m2

Is the answer I think

I WILL GIVE BRAINLIEST!!!!!

Answers

Answer:

See below

Step-by-step explanation:

Inscribed angles encompass twice as many degrees of arc as their angle measure

 soo    2* {   6x-5   +  x+17 } = 360

             shows x = 24      then ROP = x+17 = 41 degrees

dibujar esta parabola y= 3x^2

Answers

Allí está ojalá te ayude

I need help asap pls

Answers

Answer:

Circumference = 25.14 cm

Area = 50.28 cm²

Step-by-step explanation:

∴ Circumference = 2πr

⇒C = (2) (22/7) (4)

⇒C = 25.14 cm

∴ Area = πr²

⇒A = (22/7) (4)²

⇒A = 50.28 cm²

Hope that helps...

A softball has a volume of about 29 cubic inches. Find the radius of the softball. Round your answer to the nearest tenth

Answers

Volume of a Sphere = 4/3(pi)r^3 = 4.187 r^3
(29)in^3= 4.187 r^3

r = 2in [to the nearest tenth]

Twice a number is 500 more than six times the number. What is the number?

Answers

Answer:

-125

Step-by-step explanation:

Twice a number is x*2

x*2 = 500 + x*6

=> x = -125

Will mark brainlyest!!

Answers

Answer:

A = 120 cm^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is:

A = 2(area of the top) + 2(area of the front) + 2(area of one side)

Substituting the values:

A = 2(20) + 2(16) + 2(24)

First, distributing:

A = 40 + 32 + 48

Then adding, giving your final answer

A = 120 cm^2

Hope this helps you :)

What is the area of triangle ACD?

Will mark brainlyest!!

Answers

Answer:

6cm^2

Step-by-step explanation:

right triangle equation:

bh/2

so

3*4=12/2=6

Answer:

12 Square Units

Step-by-step explanation:

the right triangle: 4 x 3 = 12 12/2 = 6

the left triangle: 4 x 3 = 12  12/2 = 6

Altogether: 6 + 6 = 12

Identify the slope and y-intercept of each of the following lines. Then graph each line.
x = -7
Do I mark the graph attached?

Answers

Answer:

Below!

Step-by-step explanation:

Since there is a variable (x) on the L.H.S and a constant (-7) on the R.H.S, the line will be a vertical line intersecting the x-coordinate (-7).

~Graph attached

Determining the y-intercept of the line:

Since the line is a vertical line, it's y-intersept is undefined as it will never intersect the y-axis.

Determining the slope of the line:

To determine the slope of the line, pick any two points that is on the line.

⇒ (-7, 0) and (-7, 1)

Using the slope formula (y₂ - y₁/x₂ - x₁):

⇒ 1 - 0/-7 - (-7)⇒ 1/-7 + 7⇒ 1/0

∴ Any number divided by 0 is undefined

⇒ underfined

Thus, the slope and the y-intercept are undefined.

x=-7

So

line will be parallel to y axis

no y intercept as parallel to y axis means it will never intercept y axis

Slope will undefined

Graph attached

Jim picks a five digit odd number. The second digit is less than 5. The fourth digit is a cube number. The first digit is a prime number. How many different numbers could he pick?

Answers

Answer:

3,000 numbers.

Step-by-step explanation:

First digit: 2, 3, 5, or 7 (primes)

Second digit: 0, 1, 2, 3, or 4 (less than 5)

Third digit: 0-9

Fourth digit: 0, 1, or 8 (cubic numbers)

Fifth digit: 1, 3, 5, 7, or 9 (odd numbers)

So we have 4 * 5 * 10 * 3 * 5 = 3,000 possible numbers.

Please help. Will mark brainlyest!!

Answers

Answer:

D

Step-by-step explanation:

It goes 2 down. The ' mark shows that it is the new one

answer is B
the shape has moved 3 units down

AB is tangent to circle O at A. Find the length of radius r to the nearest tenth. A to B is 11. B to O is 8.
Please answer ASAP will mark as brainlist

Answers

Answer: 3.6

Step-by-step explanation:

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